5x-2=86-3x

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Solution for 5x-2=86-3x equation:


Simplifying
5x + -2 = 86 + -3x

Reorder the terms:
-2 + 5x = 86 + -3x

Solving
-2 + 5x = 86 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
-2 + 5x + 3x = 86 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-2 + 8x = 86 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 8x = 86 + 0
-2 + 8x = 86

Add '2' to each side of the equation.
-2 + 2 + 8x = 86 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = 86 + 2
8x = 86 + 2

Combine like terms: 86 + 2 = 88
8x = 88

Divide each side by '8'.
x = 11

Simplifying
x = 11

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